Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

348×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x.re y.im) (* x.im y.re))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify113.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune33.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

20.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
97.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
97.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
98.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify88.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	903

prune255.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
0.6b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.6b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x.re y.im) (* x.im y.re))
19.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re y.im) (* x.im y.re))
29.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
66.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
67.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	236	768
1	962	698
2	5001	674

prune184.0ms

Filtered

110 candidates to 64 candidates (58.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample536.0ms

Algorithm

intervals

Results

250.0ms

10487×

body

valid